What does the author ‘+ing’ after ‘to’ in the following sentence?
These symbols, knows as conventional signs, are the ‘key’ to reading maps.
What does the author ‘+ing’ after ‘to’ in the following sentence?
These symbols, knows as conventional signs, are the ‘key’ to reading maps.
The noun "key" is often combined with the preposition "to". For example:
There are also a number of expressions where "key" is combined with "for". For example,
In the example cited in the question, "These symbols (...) are the 'key' to reading maps", the usage of "the key to" is similar to the second and third examples, which are about something that gives you access to something else. The "-ing" form ("reading") is known as a gerund, and "reading maps" is a noun phrase that can be combined with prepositions just like other noun phrases.
ELU SE has a few questions about "key to" versus "key for" that may also be helpful: